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Finding the Third Proportional to 256,135.50 and 411,540

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Solution

The third proportional to 256,135.50 and 411,540 is: 661,232.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,135.50 : 411,540 = 411,540 : x
  2. Step 2: Convert to fraction form
    256,135.50/411,540 = 411,540/x
  3. Step 3: Cross multiply
    256,135.50x = 411,540 × 411,540
  4. Step 4: Simplify right side
    256,135.50x = 169,365,171,600
  5. Step 5: Solve for x
    x = 169,365,171,600/256,135.50
  6. Step 6: Final answer
    x = 661,232.71

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.